The current, I, flowing through a heating element is given by I=√P/R Amps where R is the power dissipated by the element, and P is its resistance. Suppose that obser - vations indicate that R is lognormally distributed with mean 110 Watts and standard deviation 2 0 Watts and that the resistance, R , is also lognormally distributed with mean 5 Ohms and standard deviation 0.5 Ohms.
What is the probability that a randomly selected heating element will consume more than 6 Amps?